Ray Optics and ...

Four similar prism of same material having same angle of prism are arranged. Which of the following arrangements given no net angular deviation ?

The limit of resolution of microscope, if the numerical aperture of microscope is $$0.12$$, and the wavelength of light used is $$600\ nm$$, is:

A thin prism of angle $$7^o$$ made of glass of refractive index $$1.5$$ is combined with another prism made of glass of $$\mu =1.75$$ to produce dispersion without deviation. The angle of second prism is :

The rising and setting of sun appear red because of : 

Refracting angle is the prism $$ \phi $$ (see figure) is $$ 30^{\circ} $$. The angle of incidence of the beam on the face of the prism $$ \alpha = 37^{\circ} $$ . Determine the angle of deviation $$ \delta $$ (in degree) of ray the from the original direction after passing through the prism. The refractive index of the material of the prism $$ n = 1.2.$$  Round off the answer to the nearest integer :

Figure shows converging rays on a glass slab placed in air . O is point of intersection of incident rays $$ I_1 $$ and $$ I_2 $$ are image formed after refraction at $$ S_1 $$ and $$ S_2 $$ surface respectively . Mark the correct options(s) :

A light ray is normally incident on a right angled prism of refractive index $$ 2.1$$ as shown. How many total internal reflections can the ray undergo inside the prism before coming out of the prism. Consider possible cases :

From the base of a hollow cone of height $$ h $$ with a small angle at the top, a small ring was cut off and placed in front of a parallel beam of light (the figure is exaggerated for clarity). At what distance x will rays of light reflected from it intersect the axis of the cone.

Consider a system of two thin lenses as shown in figure. An object of height $$ 1\, cm $$ is placed at $$ 40\,cm $$ from convex lens. Mark the correct option related to final image formed by the two-lens-system : 

A concave mirror has a focal length of 25 cm. At which of the following distance should a person hold his face from this concave mirror so that it may act as a shaving mirror ?
Give reason for your choice.